Finding the Third Proportional to 57,819 and 126,222

Step by Step Solution

1. Step 1: Write the proportion equation
   57,819 : 126,222 = 126,222 : x
2. Step 2: Convert to fraction form
   57,819/126,222 = 126,222/x
3. Step 3: Cross multiply
   57,819x = 126,222 × 126,222
4. Step 4: Simplify right side
   57,819x = 15,931,993,284
5. Step 5: Solve for x
   x = 15,931,993,284/57,819
6. Step 6: Final answer
   x = 275,549.44